Question

comparing rigid transformations quick check
△efg is rotated −90 degrees (clockwise) to create △xyz. which of the following statements must be true?
(1 point)
○ $overline{eg} \cong \overline{xy}$
○ $overline{ef} \cong \overline{xz}$
○ $\angle e \cong \angle x$
○ $\angle f \cong \angle z$

Explanation:

Rigid transformations (rotations) preserve congruence, so corresponding angles/sides of △EFG and △XYZ are equal. Vertices correspond as E→X, F→Y, G→Z. Thus, ∠E (at E) corresponds to ∠X (at X) and must be congruent.

Answer:

∠E ≅ ∠X